At what age range does the concrete operations stage occur, according to Piaget?

The concrete operations stage is a critical phase in Piaget's theory of cognitive development, occurring between the ages of approximately 7 and 11 years. During this stage, children develop the ability to think logically about concrete events. They gain a better understanding of the concept of conservation, which means they can recognize that quantity doesn't change even if its shape does. Children in this stage can also classify objects and understand the perspective of others, which are essential skills for more advanced cognitive functions.

This stage marks a transition where children move from the more egocentric thought of earlier developmental periods to a more logical and organized way of processing information. They begin to apply logic to physical or real-life situations, but they still struggle with abstract and hypothetical concepts, which are better understood in the next developmental stage called formal operations, beginning around age 12.

The other age ranges indicated in the question correspond to different stages in Piaget's theory. For instance, 0-2 years refers to the sensorimotor stage where infants learn through interaction with the world; 3-6 years corresponds to the preoperational stage characterized by illogical thinking and egocentrism; and 12-15 years marks the onset of formal operations where abstract thinking becomes more